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A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need 2000 m2 of area to graze. The farmer wants to use the least amount of fencing as possible. Which equation should the farmer use to find the minimum amount of fencing?

Respuesta :

MissPhiladelphia
If we let
x as the length of the pen
y as the width of the pen

The area is
xy = 2000

The perimeter is
P = 2(x+y)

From the area
y = 2000/x

Substituting
P = 2(x + 2000/x)
which is the equation used to find the least amount of fencing possible.

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